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Finding the Third Proportional to 259 and 388

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Solution

The third proportional to 259 and 388 is: 581.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    259 : 388 = 388 : x
  2. Step 2: Convert to fraction form
    259/388 = 388/x
  3. Step 3: Cross multiply
    259x = 388 × 388
  4. Step 4: Simplify right side
    259x = 150,544
  5. Step 5: Solve for x
    x = 150,544/259
  6. Step 6: Final answer
    x = 581.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.